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Finding the Third Proportional to 201,219.75 and 425,733

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Solution

The third proportional to 201,219.75 and 425,733 is: 900,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,219.75 : 425,733 = 425,733 : x
  2. Step 2: Convert to fraction form
    201,219.75/425,733 = 425,733/x
  3. Step 3: Cross multiply
    201,219.75x = 425,733 × 425,733
  4. Step 4: Simplify right side
    201,219.75x = 181,248,587,289
  5. Step 5: Solve for x
    x = 181,248,587,289/201,219.75
  6. Step 6: Final answer
    x = 900,749.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.